Tap the blue circles to see an explanation.
| $$ \begin{aligned}8x^3+4x-(7x^3-4x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8x^3+4x-7x^3+4x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x^3+8x\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 7x^3-4x \right) = -7x^3+4x $$ |
| ② | Combine like terms: $$ \color{blue}{8x^3} + \color{red}{4x} \color{blue}{-7x^3} + \color{red}{4x} = \color{blue}{x^3} + \color{red}{8x} $$ |